Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees and that of the tree is 30 degrees. If the distance between the car and the tree is 100 m, find Maggie's distance from the tree.

Correct answer:

t =  236.6025 m

Step-by-step explanation:

α=45  β=30  d=100 m  tanα=h:x tanβ=h:t=h:(x+d)  h=x tanα h=(x+d) tanβ  x tanα=(x+d) tanβ x tanα=x tanβ+d tanβ x tanαx tanβ=d tanβ  x=d tanαtanβtanβ=d tan45° tan30° tan30° =100 tan45° tan30° tan30° =100 10.577350.57735=136.60254 m  t=x+d=136.6025+100=236.6025 m

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